MathPlotAI Logo MathPlotAI

Sine Wave and Phasor Demonstration

Sine Wave and Phasor Demonstration
Loading the math board and drawing, please wait…
2016-03-03 14:19
VectorFunctionTrigonometryGeometric Construction
This example demonstrates a traveling sine wave moving in the +x direction along with its corresponding phasor diagram. The math concepts involved include sine functions, phasor representation, trigonometry, and vector operations. It is constructed using GeoGebra commands and objects such as Point, Circle, Intersect, Rotate, Angle, Vector, OrthogonalLine, Segment, and Line. Suitable for high school students studying wave theory, alternating current, and complex number representations in physics or mathematics.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Circle(A, 1) → c
  3. Intersect(f, a, (1.7592918860102844, -0.8177344840026156)) → C
  4. Intersect(c, xAxis, 2) → F
  5. Rotate(F, (k * X) - (ω * t), A) → F'
  6. Angle(F, A, F') → α
  7. Vector(A, F') → u
  8. OrthogonalLine(A, xAxis) → e
  9. Point(e) → E
  10. Point(e) → G
  11. Segment(E, G) → g
  12. Line(F', C) → d
  13. Intersect(d, g) → H
  14. Vector(A, H) → v